Respond to Davide
Hi,
Thanks for this.
1-I want to ask: how do I expand the sigma summation like :
cos+cos2+cos3..... etc
2- Also how do I open the plot in a separate window to make it bigger/zoom
etc?
On Wednesday, May 5, 2021 at 1:31:05 PM UTC+1 sandona...@gmail.com wrote:
> Whenever it makes sense, you should use assumptions on symbols. Since you
> are dealing with a Fourier Series, you should set:
>
> import sympy as syms
> import matplotlib.pyplot as plot
> import numpy as linspace
> n = syms.symbols('n', real=True, integer=True, positive=True)
> t = syms.symbols('t', real=True)
>
> T= 1
> w= 2*syms.pi/T
> V=1 # square wave of 1volts with 1second period
> Ao= (w/syms.pi)* syms.integrate(V,(t,0,0.5))
> An= (w/syms.pi)*syms.integrate(V*syms.cos(w*n*t),(t,0,T/2))
> Bn= (w/syms.pi)*syms.integrate(V*syms.sin(w*n*t),(t,0,T/2))
> f= Ao/2 +syms.Sum(An*syms.cos(n*w*t),(n,1,5))+
> syms.Sum(Bn*syms.sin(n*w*t),(n,1,5))
> f
>
> At this point, the expression f looks like can be simplified. Then:
>
> syms.plot(f.simplify(), (t, 0, 4*T))
>
> Davide.
>
>
> Il giorno mer 5 mag 2021 alle ore 14:07 Areeb Sherjil <areebs...@gmail.com>
> ha scritto:
>
>> No one is replying, lemme paste the code here:
>>
>>
>> import sympy as syms
>> import matplotlib.pyplot as plot
>> import numpy as linspace
>> n,t= syms.symbols('n,t')
>> T= 1
>> w= 2*syms.pi/T
>> V=1 # square wave of 1volts with 1second period
>> Ao= (w/syms.pi)* syms.integrate(V,(t,0,0.5))
>> An= (w/syms.pi)*syms.integrate(V*syms.cos(w*n*t),(t,0,T/2))
>> Bn= (w/syms.pi)*syms.integrate(V*syms.sin(w*n*t),(t,0,T/2))
>> f= Ao/2 +syms.Sum(An*syms.cos(n*w*t),(n,1,5))+
>> syms.Sum(Bn*syms.sin(n*w*t),(n,1,5))
>> f
>>
>> syms.plot(f,(t,0,2*T))
>>
>>
>>
>> On Friday, April 23, 2021 at 4:09:20 PM UTC+1 Areeb Sherjil wrote:
>>
>>> Hi all,
>>> I hope everyone is enjoying themselves!
>>> I am trying to compute the Fourier series of a simple signal(1 Volt
>>> square with freq of 1hz and 0.5T pulse width).
>>>
>>> This is what I need help with:
>>> 1- How can I make sympy display the results of the sigma summation as :
>>> Ao+An1+An2+An3....... etc instead of the way it now?Like how do I expand it?
>>> 2- When I try to plot this, I get a warning message telling me to report
>>> this as a bug? Why is this ?(look at screenshot)
>>>
>>> Any response is very much appreciated
>>> All necessary file attached(CODE:
>>> https://drive.google.com/file/d/17W3GqiN0x1oByMdgAiZHssGNu2aCJdPV/view?usp=sharing
>>> )[image: Screenshot (286).png]
>>>
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